Theta Constants, Riemann Surfaces, and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory - Rilegato
Libro 29 di 190: Graduate Studies in Mathematics
Sinossi
A textbook designed to be used in a graduate course on analysis or analytic number theory for mathematics students who have a reasonable knowledge of the theory of functions of a complex variable, and the Riemann mapping theorem, and enough mathematical maturity to follow an argument through unfamiliar proofs. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Book by Hershel M Farkas and Irwin Kra
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Theta Constants, Riemann Surfaces and the Modular Group. An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory. Graduate Studies in Mathematics, Volume 37
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Condizione: Fine. 552 pp., Hardcover, tips lightly rubbed, else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1349711
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Theta Constants, Reimann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Hard cover. Condizione: Very good. No jacket. Cover is in great condition. Spine is shaken, but binding is secure. Inside is clean and unmarked. Codice articolo 1140764
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Theta Constants, Riemann Surfaces, and the Modular Group
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Theta Constants, Riemann Surfaces, and the Modular Group
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Theta Constants, Riemann Surfaces, and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and . Theory (Graduate Studies in Mathematics, Volume 37)
Editore:
American Mathematical Society., 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Karton Karton. Condizione: Sehr gut. 531 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 1170. Codice articolo 360703
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Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and . . Theory (Graduate Studies in Mathematics)
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Condizione: New. There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading. Series: Graduate Studies in Mathematics. Num Pages: 552 pages, bibliography, index. BIC Classification: PBH; PBK; PBMP. Category: (P) Professional & Vocational. Dimension: 264 x 191 x 34. Weight in Grams: 1172. . 2001. hardcover. . . . . Codice articolo V9780821813928
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Theta Constants, Riemann Surfaces and the Modular Group
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MP-AMM American Mathematical, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo FW-9780821813928
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Theta Constants, Riemann Surfaces, and the Modular Group
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Theta Constants, Riemann Surfaces and the Modular Group
Editore:
American Mathematical Society, US, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
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Hardback. Condizione: New. There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, exact formulas for number-theoretic quantities are derived from relations between analytic functions. Elliptic functions, especially theta functions, are an important class of such functions in this context, which had been made clear already in Jacobi's Fundamenta nova. Theta functions are also classically connected with Riemann surfaces and with the modular group $\Gamma = \mathrm{PSL}(2,\mathbb{Z})$, which provide another path for insights into number theory.Farkas and Kra, well-known masters of the theory of Riemann surfaces and the analysis of theta functions, uncover here interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. For instance, the authors use this approach to derive congruences discovered by Ramanujan for the partition function, with the main ingredient being the construction of the same function in more than one way. The authors also obtain a variant on Jacobi's famous result on the number of ways that an integer can be represented as a sum of four squares, replacing the squares by triangular numbers and, in the process, obtaining a cleaner result. The recent trend of applying the ideas and methods of algebraic geometry to the study of theta functions and number theory has resulted in great advances in the area. However, the authors choose to stay with the classical point of view.As a result, their statements and proofs are very concrete. In this book the mathematician familiar with the algebraic geometry approach to theta functions and number theory will find many interesting ideas as well as detailed explanations and derivations of new and old results. Highlights of the book include systematic studies of theta constant identities, uniformizations of surfaces represented by subgroups of the modular group, partition identities, and Fourier coefficients of automorphic functions.Prerequisites are a solid understanding of complex analysis, some familiarity with Riemann surfaces, Fuchsian groups, and elliptic functions, and an interest in number theory. The book contains summaries of some of the required material, particularly for theta functions and theta constants. Readers will find here a careful exposition of a classical point of view of analysis and number theory. Presented are numerous examples plus suggestions for research-level problems. The text is suitable for a graduate course or for independent reading. Codice articolo LU-9780821813928
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Foto dell'editore
Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and . . Theory (Graduate Studies in Mathematics)
Editore:
American Mathematical Society, 2001
ISBN 10: 0821813927
ISBN 13: 9780821813928
Nuovo
Rilegato
Da: Kennys Bookstore, Olney, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading. Series: Graduate Studies in Mathematics. Num Pages: 552 pages, bibliography, index. BIC Classification: PBH; PBK; PBMP. Category: (P) Professional & Vocational. Dimension: 264 x 191 x 34. Weight in Grams: 1172. . 2001. hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821813928
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